6005792160 has 144 divisors (see below), whose sum is σ = 20515851720. Its totient is φ = 1599897600.

The previous prime is 6005792141. The next prime is 6005792167. The reversal of 6005792160 is 612975006.

6005792160 is a `hidden beast` number, since 6 + 0 + 0 + 579 + 21 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4031234064 + 1974558096 = 63492^2 + 44436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6005792167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142760 + ... + 2145560.

Almost surely, 2^6005792160 is an apocalyptic number.

6005792160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257925860).

6005792160 is an abundant number, since it is smaller than the sum of its proper divisors (14510059560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005792160 is a wasteful number, since it uses less digits than its factorization.

6005792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6005792160 is about 77497.0461372561. The cubic root of 6005792160 is about 1817.7051299547.

The spelling of 6005792160 in words is "six billion, five million, seven hundred ninety-two thousand, one hundred sixty".